流行性病毒传播生态动力学系统

数学物理学报 ›› 2019, Vol. 39 ›› Issue (1): 200-208.

• 论文 • 上一篇

流行性病毒传播生态动力学系统

韩祥临¹(),汪维刚²,莫嘉琪³

¹ 湖州师范学院求真学院浙江湖州 313000
² 合肥幼儿师范高等专科学校基础部合肥 230011
³ 安徽师范大学数学与统计学院安徽芜湖 241003

收稿日期:2017-10-08 出版日期:2019-02-26 发布日期:2019-03-12
作者简介:韩祥临, E-mail:xlhan@zjhu.edu.cn
基金资助:
国家自然科学基金(11771005);浙江省自然科学基金(LY13A010005);安徽省高校自然科学研究重点项目(KJ2017A901);安徽省教育科学规划课题(JG10068)

Bionomics Dynamic System for Epidemic Virus Transmission

Xianglin Han¹(),Weigang Wang²,Jiaqi Mo³

¹ Qiuzhen School of Huzhou Teechers College, Zhejiang Huzhou 313000
² Department of Basic, Hefei Preschool Education College, Hefei 230011
³ School of Mathematics & Statistics, Anhui Normal University, Anhui Wuhu 241003

Received:2017-10-08 Online:2019-02-26 Published:2019-03-12
Supported by:
the NSFC(11771005);the Natural Science Foundation of Zhejiang Province(LY13A010005);the Natural Science Foundation of the Education Department of Anhui Province(KJ2017A901);the Education Science Programming Foundation of Anhui Province(JG10068)

摘要/Abstract

摘要：

利用近代数学物理的渐近理论，研究了一类流行性传染病传播非线性动力学系统.首先，提出了流行性传染病传播微分动力学模型.其次，引入一组泛函分析同伦映射，将动力学系统的解展为由一个人工参数的幂级数.然后，逐次地求出该动力学系统的各次渐近解析解.最后，阐述了动力学模型解的意义.

关键词: 动力学系统, 流行性传染病模型, HIV病毒

Abstract:

A nonlinear dynamic system of the epidemic contagion transmission is studied by using the asymptotic theory in modern mathematical physics. Firstly, a dynamic model of the epidemic contagion transmission is established, which is a system of differential equation. Next, a set of functional analytic homotopic mapping is led. Then the solution of dynamic system model for a power series with a artificial parameter is substituted. Their asymptotic solutions of the dynamic system are solved successively. Finely, the importance of solution for the original dynamic model is related.

Key words: Dynamic system, Epidemic contagion model, HIV virus

中图分类号:

N941.3

韩祥临,汪维刚,莫嘉琪. 流行性病毒传播生态动力学系统[J]. 数学物理学报, 2019, 39(1): 200-208.

Xianglin Han,Weigang Wang,Jiaqi Mo. Bionomics Dynamic System for Epidemic Virus Transmission[J]. Acta mathematica scientia,Series A, 2019, 39(1): 200-208.

图/表 4

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流行性病毒传播生态动力学系统

Bionomics Dynamic System for Epidemic Virus Transmission

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